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Finding the Fourth Proportional to 40,646.96, 60,972.82 and 15,687.14

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Solution

The fourth proportional to 40,646.96, 60,972.82 and 15,687.14 is: 23,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,646.96 : 60,972.82 = 15,687.14 : x
  2. Step 2: Convert to fraction form
    40,646.96/60,972.82 = 15,687.14/x
  3. Step 3: Cross multiply
    40,646.96x = 60,972.82 × 15,687.14
  4. Step 4: Simplify right side
    40,646.96x = 956,489,163.53
  5. Step 5: Solve for x
    x = 956,489,163.53/40,646.96
  6. Step 6: Final answer
    x = 23,531.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.